What is the Greatest Common Factor of 21525 and 21533?

Greatest common factor (GCF) of 21525 and 21533 is 1.

GCF(21525,21533) = 1

We will now calculate the prime factors of 21525 and 21533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21525 and 21533.

How to find the GCF of 21525 and 21533?

We will first find the prime factorization of 21525 and 21533. After we will calculate the factors of 21525 and 21533 and find the biggest common factor number .

Step-1: Prime Factorization of 21525

Prime factors of 21525 are 3, 5, 7, 41. Prime factorization of 21525 in exponential form is:

21525 = 3¹ × 5² × 7¹ × 41¹

Step-2: Prime Factorization of 21533

Prime factors of 21533 are 61, 353. Prime factorization of 21533 in exponential form is:

21533 = 61¹ × 353¹

Step-3: Factors of 21525

List of positive integer factors of 21525 that divides 21525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 41, 75, 105, 123, 175, 205, 287, 525, 615, 861, 1025, 1435, 3075, 4305, 7175

Step-4: Factors of 21533

List of positive integer factors of 21533 that divides 21525 without a remainder.

1, 61, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21525 and 21533. The biggest common factor number is the GCF number.
So the greatest common factor 21525 and 21533 is 1.

Also check out the Least Common Multiple of 21525 and 21533